Don't buy either. The tone of your post sounds backwards. Maybe I'm not hearing it right over the internet, which is always possible but it sounds like you're saying- "I have a little money, and I want a hunting rifle now, so which of these two is not as bad as the other?".
That's the wrong way to think about getting a firearm. Most of the time firearms will out live you. Ask yourself which rifle you want, and save for the one you want, not the one you can afford right now.
You seem to be focused on bolt-action which is fine. A bolt-action will do fine at short ranges, and reach out and touch the longer ones. A lever action is usually referred to as a brush gun and is primarily for the shorter to mid ranges.
30-06 is a perfectly fine caliber. It's still almost the default caliber in fact.
Does the stock material matter to you? The synthetic stocks will be lighter, and more weather proof. This is a sword that cuts both ways. The wood will be heavier, which means you'll have to spend more energy carrying it. It also means it will likely absorb more energy when you fire it. Most people find wood more visually appealing. I've seen Remington 700's in 30-06 at Walmart for 700ish. Had I seen it in the Walmart near me, as opposed to out of state near the family farm I was vacationing at, I would have gone back and picked it up.
What I'm getting at is save for the gun you want, don't buy the gun you can afford right now.